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Finding the Fourth Proportional to 11,597.12, 15,929.20 and 11,375.84

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Solution

The fourth proportional to 11,597.12, 15,929.20 and 11,375.84 is: 15,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.12 : 15,929.20 = 11,375.84 : x
  2. Step 2: Convert to fraction form
    11,597.12/15,929.20 = 11,375.84/x
  3. Step 3: Cross multiply
    11,597.12x = 15,929.20 × 11,375.84
  4. Step 4: Simplify right side
    11,597.12x = 181,208,030.53
  5. Step 5: Solve for x
    x = 181,208,030.53/11,597.12
  6. Step 6: Final answer
    x = 15,625.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.